Title :

Light groups of isomorphisms of Banach spaces and invariant LUR renormings

Author(s) :

Antunes, Leandro [Auteur]
Ferenczi, Valentin [Auteur]
Grivaux, Sophie [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Rosendal, Christian [Auteur]

Journal title :

Pacific Journal of Mathematics

Pages :

31-54

Publisher :

Mathematical Sciences Publishers

Publication date :

2019

ISSN :

0030-8730

English keyword(s) :

groups of isomorphisms of Banach spaces
isometry groups
light groups
renormings of Banach spaces
LUR renormings
invariant renormings.

HAL domain(s) :

Mathématiques [math]
Mathématiques [math]/Analyse fonctionnelle [math.FA]

English abstract : [en]

Megrelishvili defines in [17] light groups of isomorphisms of a Banach space as the groups on which the Weak and Strong Operator Topologies coincide, and proves that every bounded group of isomorphisms of Banach spaces ...
Show more >Megrelishvili defines in [17] light groups of isomorphisms of a Banach space as the groups on which the Weak and Strong Operator Topologies coincide, and proves that every bounded group of isomorphisms of Banach spaces with the Point of Continuity Property (PCP) is light. We investigate this concept for isomorphism groups G of classical Banach spaces X without the PCP, specially isometry groups, and relate it to the existence of G-invariant LUR or strictly convex renormings of X.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Frontières de la théorie des opérateurs

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL